Two-sided a posteriori error bounds for electro-magnetostatic problems
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
This paper is concerned with the derivation of computable and guaranteed upper and lower bounds of the difference between exact and approximate solutions of a boundary value problem for static Maxwell equations. Our analysis is based upon purely functional argumentation and does not invoke specific properties of the approximation method. For this reason, the estimates derived in the paper at hand are applicable to any approximate solution that belongs to the corresponding energy space. Such estimates (also called error majorants of the functional type) have been derived earlier for elliptic problems. Bibliography: 24 titles.
Details
Original language | English |
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Pages (from-to) | 53-62 |
Number of pages | 10 |
Journal | Journal of Mathematical Sciences |
Volume | 166 |
Issue number | 1 |
Publication status | Published - Mar 2010 |
Peer-reviewed | Yes |
External IDs
ORCID | /0000-0003-4155-7297/work/145224253 |
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